It might be an interesting exercise. Maybe one could deduce when some cave paintings were done, or whatever.
I know that you don't agree, but the Ancient Vedics had a Start Point - it was the rising of a certain star at the Autumn Equinox. And this star last rose at the Autumn Equinox in 11501 BC.
It determined the closest point of the Sun to the Galactic Center, if the Sun is in Binary Orbit - again I know that you don't agree.
This rising also determined the high point of the Yuga Cycle - the Golden Age. 12000 years later, when the Sun was at maximum distance from the Center was the low point of the Cycle referred to as Kali Yuga.
As the Ancients put great store in the effect of the Pleroma upon the human condition, it was very important to know, not just where we are in the Cycle, but whether, or not, it is a downward or upward path.
If 11501 BC is the correct Start Point, it really doesn't matter whether, or not, the Sun is in Binary Orbit. We can just count the years.
But, if there is any credence to this line of thinking, it makes me wonder how people of ancient times could possibly have known that we exist in a galaxy; the shape of the galaxy and the fact that it had a centre which could be identified in the heavens.
Thanks for engaging in this discussion. It's probably time to sign off. Catch up again on another one.